On the computation of roll waves (Q2781495)

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scientific article; zbMATH DE number 1721499
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English
On the computation of roll waves
scientific article; zbMATH DE number 1721499

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    20 March 2002
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    conservation laws with source term
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    round-off error
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    shock capturing methods
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    On the computation of roll waves (English)
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    The paper deals with the analysis and numerical approximation of roll waves. The Burgers' equation extended by a linear source term is used as a model problem. Based on an analytic investigation of the governing equations a numerical method is proposed which overcomes numerical difficulties like round-off errors. The performance of the scheme is demonstrated by various numerical experiments.
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